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The figure below shows a circle centre O. Chord AB subtends 30° at the centre. If the area of the minor segment is 5.25cm2, find the radius of the circle. 
figure of circle centre O

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 30   × 22 × r2  =  11 r2
360      7              42
Area of ∆ = ½r2 sin 30 = ¼r 
11 r2 − ¼r2 =5.25
42
84 × 1  r2 =5.25 × 84
       84   
r2 = 441
r2 = √441
 r = 21cm 

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